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Simplifying 5y + -6 + -1y + 2 = 3(3y + -1) + 2y Reorder the terms: -6 + 2 + 5y + -1y = 3(3y + -1) + 2y Combine like terms: -6 + 2 = -4 -4 + 5y + -1y = 3(3y + -1) + 2y Combine like terms: 5y + -1y = 4y -4 + 4y = 3(3y + -1) + 2y Reorder the terms: -4 + 4y = 3(-1 + 3y) + 2y -4 + 4y = (-1 * 3 + 3y * 3) + 2y -4 + 4y = (-3 + 9y) + 2y Combine like terms: 9y + 2y = 11y -4 + 4y = -3 + 11y Solving -4 + 4y = -3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -4 + 4y + -11y = -3 + 11y + -11y Combine like terms: 4y + -11y = -7y -4 + -7y = -3 + 11y + -11y Combine like terms: 11y + -11y = 0 -4 + -7y = -3 + 0 -4 + -7y = -3 Add '4' to each side of the equation. -4 + 4 + -7y = -3 + 4 Combine like terms: -4 + 4 = 0 0 + -7y = -3 + 4 -7y = -3 + 4 Combine like terms: -3 + 4 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429
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